31106 has 8 divisors (see below), whose sum is σ = 47424. Its totient is φ = 15300.

The previous prime is 31091. The next prime is 31121. The reversal of 31106 is 60113.

It is an interprime number because it is at equal distance from previous prime (31091) and next prime (31121).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31106.

It is an unprimeable number.

31106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2³¹¹⁰⁶ is an apocalyptic number.

31106 is a deficient number, since it is larger than the sum of its proper divisors (16318).

31106 is a wasteful number, since it uses less digits than its factorization.

31106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 31106 is about 176.3689315044. The cubic root of 31106 is about 31.4495707751.

Adding to 31106 its reverse (60113), we get a palindrome (91219).

The spelling of 31106 in words is "thirty-one thousand, one hundred six".